# Stored data for newform 1225.4.a.d, downloaded from the LMFDB on 23 April 2024.
{"label": "1225.4.a.d", "space_label": "1225.4.a", "level": 1225, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13510798949221577, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 288706831087282556, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [2, 1]], [3, [-7, 1]], [19, [49, 1]]], "qexp_display": "q-2q^{2}+7q^{3}-4q^{4}-14q^{6}+24q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19600, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 72.27733975703225, "hecke_ring_index": 1, "level_radical": 35, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1225, 1, [1177, 101], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.914", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.709", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, -1]], "trace_display": [-2, 7, 0, 0], "traces": [0, 1, -2, 7, -4, 0, -14, 0, 24, 22, 0, -5, -28, -14, 0, 0, -16, -21, -44, -49, 0, 0, 10, 159, 168, 0, 28, -35, 0, 58, 0, -147, -160, -35, 42, 0, -88, -219, 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